3537216 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1115136.

The previous prime is 3537199. The next prime is 3537269. The reversal of 3537216 is 6127353.

It is a happy number.

3537216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3537216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39700 + ... + 39788.

Almost surely, 2^3537216 is an apocalyptic number.

3537216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3537216 is an abundant number, since it is smaller than the sum of its proper divisors (7435584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3537216 is a wasteful number, since it uses less digits than its factorization.

3537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 3537216 is about 1880.7487870526. The cubic root of 3537216 is about 152.3656938094.

It can be divided in two parts, 353 and 7216, that added together give a square (7569 = 87²).

The spelling of 3537216 in words is "three million, five hundred thirty-seven thousand, two hundred sixteen".